Question : Directions: Select the correct combination of the mathematical signs to replace star symbols (*) in the below equation and therefore balance it.
36 * 14 * 17 * 396 * 18 * 252
Option 1: +, –, ×, ÷, =
Option 2: +, ×, –, =, ÷
Option 3: +, ×, –, ÷, =
Option 4: ×, +, –, ÷, =
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Correct Answer: +, ×, –, ÷, =
Solution :
Given:
36 * 14 * 17 * 396 * 18 * 252
Let's check each option –
First Option:
+, –, ×, ÷, =
36 + 14 – 17 × 396 ÷ 18 = 252
L.H.S. = 36 + 14 – 17 × 396 ÷ 18
= 36 + 14 – 17 × 22
= 36 + 14 – 374
= –324
L.H.S.
≠ R.H.S.
Second Option:
+, ×, –, =, ÷
36 + 14 × 17 – 396 = 18 ÷ 252
L.H.S. = 36 + 14 × 17 – 396 = 36 + 238 – 396 = –122
R.H.S. = 18 ÷ 252 = 0.0714
L.H.S.
≠ R.H.S.
Third Option:
+, ×, –, ÷, =
36 + 14 × 17 – 396 ÷ 18 = 252
L.H.S. = 36 + 14 × 17 – 396 ÷ 18
= 36 + 14 × 17 – 22
= 36 + 238 – 22
= 252
L.H.S. =
R.H.S.
Fourth Option:
×, +, –, ÷, =
36 × 14 + 17 – 396 ÷ 18 = 252
L.H.S. = 36 × 14 + 17 – 396 ÷ 18
= 36 × 14 + 17 – 22
= 504 + 17 – 22
= 499
L.H.S.
≠ R.H.S.
So, only the third option satisfies the equation. Hence, the third option is correct.
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